Functional inequalities for convex functions of higher order

被引：0
|
作者：
Lupas, A [1 ]
机构：
[1] Univ Romano Germana Din Sibiu, Sibiu 2400, Romania
来源：
INEQUALITY THEORY AND APPLICATIONS, VOL 1 | 2001年
关键词：
divided differences; Hermite-Hadamard inequalities; hypergeometric functions;
D O I：
暂无
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
Our goal is to prove some inequalities for convex functions of second order. These inequalities are similar with those known as Hermite-Hadamard inequalities: see (1)similar to(3), and (7)similar to(9). The main results axe included in Theorem 3.1. Some applications are given.
引用
收藏
页码：219 / 229
页数：11
相关论文
共 50 条
  • [1] INEQUALITIES FOR DISCRETE HIGHER ORDER CONVEX FUNCTIONS
    Prekopa, Andras
    [J]. JOURNAL OF MATHEMATICAL INEQUALITIES, 2009, 3 (04): : 485 - 498
  • [2] On some inequalities for convex functions of higher order II
    Pecaric, J
    Culjak, V
    Rogina, M
    [J]. NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2001, 45 (03) : 281 - 294
  • [3] Interpolation polynomials and inequalities for convex functions of higher order
    Pecaric, J
    Culjak, V
    [J]. MATHEMATICAL INEQUALITIES & APPLICATIONS, 2002, 5 (03): : 369 - 386
  • [4] Higher order strongly general convex functions and variational inequalities
    Noor, Muhammad Aslam
    Noor, Khalida Inayat
    [J]. AIMS MATHEMATICS, 2020, 5 (04): : 3646 - 3663
  • [5] Fejer type inequalities for higher order convex functions and quadrature formulae
    Baric, J.
    Kvesic, Lj
    Pecaric, J.
    Penava, M. Ribicic
    [J]. AEQUATIONES MATHEMATICAE, 2022, 96 (02) : 417 - 430
  • [6] Some Interesting Inequalities for the Class of Generalized Convex Functions of Higher Order
    Liu, Limei
    Saleem, Muhammad Shoaib
    Yasin, Faisal
    Aslam, Kiran Naseem
    Wang, Pengfei
    [J]. JOURNAL OF FUNCTION SPACES, 2023, 2023
  • [7] On convex functions of higher order
    Gilanyi, Attila
    Pales, Zsolt
    [J]. MATHEMATICAL INEQUALITIES & APPLICATIONS, 2008, 11 (02): : 271 - 282
  • [8] Inequalities for convex functions of third order
    Lupas, L
    [J]. INEQUALITY THEORY AND APPLICATIONS, VOL 1, 2001, : 231 - 241
  • [9] Fejér type inequalities for higher order convex functions and quadrature formulae
    J. Barić
    Lj. Kvesić
    J. Pečarić
    M. Ribičić Penava
    [J]. Aequationes mathematicae, 2022, 96 : 417 - 430
  • [10] Hermite–Hadamard type inequalities for higher-order convex functions and applications
    Doan Thi Thuy Van
    Tran Minh Vu
    Duong Quoc Huy
    [J]. The Journal of Analysis, 2024, 32 : 869 - 888
12345